In this study, we investigate energy and momentum distributions of Monopole metric. For this purpose, we have used Einstein, Bergmann-Thomson and Landau-Lifshitz energy and momentum densities in Teleparallel Gravity (TG). We obtained that: (i) The solutions of Einstein and Bergmann-Thomson energy and momentum distributions give the same results but Landau-Lifshitz energy distribution does not provide same results in TG. (ii) The momentum densities of Einstein, Bergmann-Thomson and Landau-Lifshitz are vanish in TG for monopole metric. (hi) The obtained energy-momentum solutions are different from the earlier results in General Relativity (GR).